Maximum Principle for Totally Umbilical Null Hypersurfaces and Time-dependent Null Horizons

@inproceedings{Duggal2015MaximumPF,
  title={Maximum Principle for Totally Umbilical Null Hypersurfaces and Time-dependent Null Horizons},
  author={Krishan L. Duggal},
  year={2015}
}
In this paper we modify the maximum principal of (Galloway, 2000) for totally geodesic null hypersurfaces by proving a geometric maximum principle which obeys mean curvature inequalities of a family of totally umbilical null hypersurfaces of a spacetime manifold (Theorem 6). As a physical interpretation we show that, in particular, for a prescribed class of spacetimes the geometric inequality of the Theorem 6 for totally umbilical null hypersurfaces is valid as well as it establishes a link… CONTINUE READING